2) A very long hollow cylindrical conductor has a current ij flowing in it in the direction out of the page. The current density is constant throughout the conductor. The inner radius of this conductor is R1 and the outer radius is R2. a) What is the current density inside the conductor? Derive the magnetic field (magnitude and direction) R2 b) for radius r> R2? c) for R1
2) A very long hollow cylindrical conductor has a current ij flowing in it in the direction out of the page. The current density is constant throughout the conductor. The inner radius of this conductor is R1 and the outer radius is R2. a) What is the current density inside the conductor? Derive the magnetic field (magnitude and direction) R2 b) for radius r> R2? c) for R1
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Transcribed Image Text:A very long hollow cylindrical conductor has a current i flowing in it in the direction
2)
out of the page. The current density is constant throughout the conductor. The inner radius of
this conductor is R1 and the outer radius is R2.
a) What is the current density inside the conductor?
A
Derive the magnetic field (magnitude and direction)
R2
b) for radiusr> R2?
c) for R1 <r<R2?
d) for r<R1?
e) Graph the magnetic field versus radius, r.
Make sure you show all work and explain all reasoning.
R1
i
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